For the pair of functions, perform the indicated operation.
-f(x) = $\frac { 5 x - 8 } { 3 } , g ( x ) = \frac { 1 } { x }$ Find (f - g)(x) .
A) $\frac { 5 x - 8 } { 3 - x }$
B) $\frac { 5 x ^ { 2 } - 8 x - 3 } { 3 x }$
C) $\frac { 5 x ^ { 2 } - 8 x + 3 } { 3 x }$
D) $\frac { 5 x ^ { 2 } - 8 x - 1 } { 3 x }$

Question

For the pair of functions, perform the indicated operation.
-f(x) = $\frac { 5 x - 8 } { 3 } , g ( x ) = \frac { 1 } { x }$ Find  (f - g)(x) .
A) $\frac { 5 x - 8 } { 3 - x }$
B) $\frac { 5 x ^ { 2 } - 8 x - 3 } { 3 x }$
C) $\frac { 5 x ^ { 2 } - 8 x + 3 } { 3 x }$
D) $\frac { 5 x ^ { 2 } - 8 x - 1 } { 3 x }$

Quizplus · Accepted Answer

To find $(f - g)(x)$, subtract $g(x)$ from $f(x)$: $f(x) - g(x) = \frac{5x - 8}{3} - \frac{1}{x}$. To combine these, find a common denominator, which is $3x$, leading to $\frac{5x^2 - 8x - 3}{3x}$.

For the Pair of Functions, Perform the Indicated Operation 5x−83,g(x)=1x\frac { 5 x - 8 } { 3 } , g ( x ) = \frac { 1 } { x }35x−8​,g(x)=x1​

For the Pair of Functions, Perform the Indicated Operation $\frac { 5 x - 8 } { 3 } , g ( x ) = \frac { 1 } { x }$